Decide What Values of the Variable Cannot Possibly Be Solutions $$8 x ^ { - 2 / 5 } + 14 x ^ { - 1 / 5 } + 6 = 0$$

question 278

Multiple Choice

Decide what values of the variable cannot possibly be solutions for the equation.
- $$8 x ^ { - 2 / 5 } + 14 x ^ { - 1 / 5 } + 6 = 0$$

• A) \(\left\{ - 1 , - \frac { 4 } { 3 } \right\}\)
• B) \(\left\{ - 1 , - \frac { 1024 } { 243 } \right\}\)
• C) \(\{ 2,3 \}\)
• D) \(\left\{ 1 , \frac { 1024 } { 243 } \right\}\)

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Definitions:

Volcanic Neck

A column of solidified lava or magma that formed in the vent of a volcano and became exposed through erosion.

Igneous Feature

A geological formation that results from the solidification and crystallization of magma or lava, such as volcanoes or granite intrusions.

Batholith

A large mass of intrusive igneous rock, often granitic, that has solidified deep in the Earth's crust.

Decompression Melting

A geologic process where melting occurs due to a decrease in pressure as rock rises closer to the surface, without a change in temperature.